Chapter 0, Problem 16PRT

To determine

To calculate: The value of expression $\frac{5}{6}+\frac{2}{3}$ in the simplest form.

Answer to Problem 16PRT

The value of expression $\frac{5}{6}+\frac{2}{3}$ in the simplest form is $\frac{3}{2}$ .

Explanation of Solution

Given information:

The given expression is $\frac{5}{6}+\frac{2}{3}$ .

Formula used:

The addition of two or more terms is denoted by $+$ sign that is if two terms are separated by $+$ then they are added up together.

Calculation:

Consider the provided expression,

  $\frac{5}{6}+\frac{2}{3}$

Observe that the denominator is not same in both the rational numbers, so take the lowest common multiple of denominators 6 and 3 as 6.

  $\begin{array}{c}\frac{5}{6}+\frac{2}{3}=\frac{\left(5\times 1\right)+\left(2\times 2\right)}{6}\\ =\frac{5+4}{6}\\ =\frac{9}{6}\\ =\frac{3}{2}\end{array}$

The above expression cannot be simplified further.

Therefore, the value of expression $\frac{5}{6}+\frac{2}{3}$ in the simplest form is $\frac{3}{2}$ .